How can I send radio button value in PHP using javascript?

First of all you use same id 4 times. ID have to be unique in document, you cannot set same id to 4 elements. Also I think the way you are getting value from radio button is wrong.

This is more or less how you can get value from radio button: ( example from another SO question )

  var optionu = $('input[name=optionu]:checked', '#controls').val()

Also remove id from all input[radio] elements.

<label class="btn btn-primary active">
   <input type="radio" class="form-control" name="optionu" value="Residential" checked /> Residential 
 </label>
 <label class="btn btn-primary ">
   <input type="radio" class="form-control" name="optionu" value="Commercial" /> Commercial
 </label>
 <label class="btn btn-primary ">
   <input type="radio" class="form-control" name="optionu" value="Handyman" /> Handyman
 </label>